GCSEMaths: FoundationEdexcelTopic QuestionsRatio, Proportion & Rates of ChangeRatio Problem Solving

Ratio Problem Solving (Edexcel GCSE Maths: Foundation)

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1
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A pattern of tiles is being created in a bathroom, consisting of black and white tiles.

2 over 7 of the tiles are black.

(i)

Write down the ratio of white tiles to black tiles.

[1]

 

(ii)

There is a total of 42 tiles.

Find the number of white tiles.

[1]

 

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2
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A display in a garden centre contains red and yellow flowers in the ratio 3 : 7.

There are 12 more yellow flowers than red flowers.

Find the total number of flowers in the display.

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3
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For a football team, the ratio of the number of goals scored to the number of goals conceded is 13 : 9.

Over the course of a year, the team conceded 72 goals.

Find the number of goals scored.

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4
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In a hotel at breakfast time, the ratio of sausages to eggs is 3 : 1.

The ratio of tomatoes to sausages is 2 : 9.

Find the ratio of tomatoes to eggs.

Give your answer in its simplest form.

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5
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Anna, Bruce, and Charlie share a sum of money.

Anna receives 1 fourth of the money.

Bruce receives 3 over 8 of the money.

Charlie receives the rest of the money.

Write a ratio describing the money received by Anna, Bruce, and Charlie respectively.

Write the ratio in its simplest form.

Anna : Bruce : Charlie = ...... : ...... : ......

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1
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Given that a over b equals 3 over 7 and b over c equals 4 over 5

find a space colon space b space colon space c.

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2
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A bag contains yellow balls, pink balls and green balls only.

The ratio yellow balls : pink balls : green balls = 7 : 3 : 5.
There are 42 yellow balls in the bag.

Work out the total number of balls in the bag.

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3
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A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is

red : green : blue = 12 : 5 : 2.

There are 112 more red marbles than green marbles.

Work out the number of blue marbles.

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4
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A farmer has 45 horses and 20 cows.

i)
Write this as a ratio of horses : cows.
Give your answer in its simplest form.
[1]
ii)
The farmer wants the ratio of horses : cows to equal 5 : 3.
He keeps his 45 horses and buys some more cows.

Work out the number of cows he must buy.
[2]

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5
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Nadira has some T-shirts that are either white or blue or green.
The numbers of T-shirts are in the ratio white : blue : green = 5 : 4 : 1.
48 of the T-shirts are blue.

Work out the total number of T-shirts.

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1
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Ahmed, Beatrice, and Chen each earn the same monthly salary.

Each month,

  • Ahmed saves 22% of his salary and spends the rest of his salary.
  • Beatrice spends 7 over 10 of her salary, and saves the rest of her salary.
  • The amount of salary Chen saves : the amount of salary he spends = 3 : 17.

Work out who saves the most of their salary each month.

You must show how you get your answer.

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2
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In a car park there are silver, white, and black cars.

The ratio of silver cars to white cars is 3 : 5.

The ratio of white cars to black cars is 2 : 3.

Find the ratio of silver cars : black cars in its simplest form.

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3a
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There are only small, medium, and large sized shirts sold in a shop.

The number of small, medium, and large sized shirts are in the ratio 3 : 7 : 6.

Work out what percentage of the shirts are sized small or large.

Write your answer correct to 2 decimal places.

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3b
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There are 36 more medium shirts than small shirts.

Find the total number of shirts.

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4
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Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3.
Alex receives 20 more sweets than Chris.

Work out the number of sweets Chris receives.

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5
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Zach is looking at the costs of a holiday.

The ratio of the costs flights : hotels = 3 : 8.
The cost of the flights is $861.

Work out the total cost of flights and hotels.

$ ................................................... 

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